Search a number
-
+
14135202 = 2331923599
BaseRepresentation
bin110101111010…
…111110100010
3222121010212000
4311322332202
512104311302
61222544430
7231101334
oct65727642
928533760
1014135202
117a84a94
124898116
132c0bb33
141c3d454
15139331c
hexd7afa2

14135202 has 64 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 4262544.

The previous prime is 14135189. The next prime is 14135207. The reversal of 14135202 is 20253141.

14135202 is a `hidden beast` number, since 141 + 3 + 520 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14135207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23299 + ... + 23897.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 214135202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

14135202 is an abundant number, since it is smaller than the sum of its proper divisors (20424798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14135202 is a wasteful number, since it uses less digits than its factorization.

14135202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14135202 is about 3759.6811034980. The cubic root of 14135202 is about 241.7875899523.

Adding to 14135202 its reverse (20253141), we get a palindrome (34388343).

The spelling of 14135202 in words is "fourteen million, one hundred thirty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 599 621 874 1026 1198 1242 1311 1797 2622 3594 3933 5391 7866 10782 11381 11799 13777 16173 22762 23598 27554 32346 34143 41331 68286 82662 102429 123993 204858 247986 261763 307287 371979 523526 614574 743958 785289 1570578 2355867 4711734 7067601 14135202